Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474bm |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
761190166309517568 = 28 · 39 · 132 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 6 13- -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-600050,174063601] |
[a1,a2,a3,a4,a6] |
j |
25803133875/822016 |
j-invariant |
L |
4.5210847328452 |
L(r)(E,1)/r! |
Ω |
0.28256779121899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84474h1 4446b1 |
Quadratic twists by: -3 -19 |